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Python Math: Calculate the aliquot sum of an given integer

Python Math: Exercise-83 with Solution

From Wikipedia, the free encyclopedia
In number theory, the aliquot sum s(n) of a positive integer n is the sum of all proper divisors of n, that is, all divisors of n other than n itself. It can be used to characterize the prime numbers, perfect numbers, deficient numbers, abundant numbers, and untouchable numbers, and to define the aliquot sequence of a number.

For example, the proper divisors of 15 (that is, the positive divisors of 15 that are not equal to 15) are 1, 3 and 5, so the aliquot sum of 15 is 9 i.e. (1 + 3 + 5).

Write a Python program to calculate the aliquot sum of an given integer.

Sample Solution:

Python Code:

def aliquot_sum(input_val):
     if not isinstance(input_val, int):
        return "Input must be an integer"
     if input_val <= 0:
        return "Input must be positive"
     return "Aliquot Sum",sum(
        divisor for divisor in range(1, input_val // 2 + 1) if input_val % divisor == 0
    )
N = 15
print("\nInput value:",N)
print(aliquot_sum(N))
N = 12
print("\nInput value:",N)
print(aliquot_sum(N))
N = -6
print("\nInput value:",N)
print(aliquot_sum(N))
N = 12.22
print("\nInput value:",N)
print(aliquot_sum(N))
N = 'zz'
print("\nInput value:",N)
print(aliquot_sum(N))

Sample Output:

Input value: 15
('Aliquot Sum', 9)

Input value: 12
('Aliquot Sum', 16)

Input value: -6
Input must be positive

Input value: 12.22
Input must be an integer

Input value: zz
Input must be an integer

Flowchart:

Flowchart: Calculate  the aliquot sum of an given integer.

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Previous: Write a Python program to convert a given float value to ratio.
Next: Write a Python program to get the nth tetrahedral number from a given integer(n) value.

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Python: Tips of the Day

Getting rid of unwanted characters:

You can get rid of whitespaces or any specific character using strip methods in Python. You can use either plain strip for both sides, lstrip for the left side and rstrip for the right side only.

str="+++Welcome python+++"
str.strip()

print(str)

Output:

+++Welcome python+++